Question

There are two vertical angles in a figure where m ∠
1 = 2x - 24 °
and the m ∠
2 = 86 °
.

Which equation will solve for x?



(1 point)
Responses

2x - 86 = 24
2x - 86 = 24

2x - 24 + 86 = 180
2x - 24 + 86 = 180

2x - 24 = 86

Answer 1

To solve for \( x \) using the given angles \( m ∠1 = 2x - 24° \) and \( m ∠2 = 86° \) (where \( ∠1 \) and \( ∠2 \) are vertical angles), we know that vertical angles are equal. Therefore, we can set the two expressions equal to each other:

\[
2x - 24 = 86
\]

So, the correct equation to solve for \( x \) is:

**2x - 24 = 86**